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Finding the Fourth Proportional to 522.05, 718.79 and 443.21

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Solution

The fourth proportional to 522.05, 718.79 and 443.21 is: 610.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.05 : 718.79 = 443.21 : x
  2. Step 2: Convert to fraction form
    522.05/718.79 = 443.21/x
  3. Step 3: Cross multiply
    522.05x = 718.79 × 443.21
  4. Step 4: Simplify right side
    522.05x = 318,576.16
  5. Step 5: Solve for x
    x = 318,576.16/522.05
  6. Step 6: Final answer
    x = 610.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.